like terms
Terms that have the same variable with the same degree. OR no variable at all.
Like terms are terms that have the same variables and powers. In algebra, it is important to understand and identify like terms because they can be combined or simplified, which makes solving equations and expressions easier.
For example, in the expression 3x + 5y + 2x – 4y, the like terms are 3x and 2x, and 5y and -4y. These terms can be combined to simplify the expression as follows:
3x + 5y + 2x – 4y = (3x + 2x) + (5y – 4y) = 5x + y
Therefore, the simplified form of the expression 3x + 5y + 2x – 4y is 5x + y, where the like terms 3x and 2x have been combined into 5x and the like terms 5y and -4y have been combined into y.
It is important to note that variables with different powers are not like terms. For example, 3x^2 and 5x are not considered like terms because they have different powers of x.Therefore, it is important to be careful when identifying like terms and to only combine terms that have the same variables and powers.
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